Pith Number

pith:ZSFRBZSY

pith:2016:ZSFRBZSYNONYVAPLKK5FQTOU2E

not attested not anchored not stored refs pending

Monads on Q-Cat and their lax extensions to Q-Dist

Hongliang Lai, Walter Tholen

arxiv:1609.03214 v1 · 2016-09-11 · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSFRBZSYNONYVAPLKK5FQTOU2E}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:04:47.505526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc8b10e6586b9b8a81eb52ba584dd4d105ae9c9adc1498356ae6c511fd0ee2c3

Aliases

arxiv: 1609.03214 · arxiv_version: 1609.03214v1 · doi: 10.48550/arxiv.1609.03214 · pith_short_12: ZSFRBZSYNONY · pith_short_16: ZSFRBZSYNONYVAPL · pith_short_8: ZSFRBZSY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZSFRBZSYNONYVAPLKK5FQTOU2E \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cc8b10e6586b9b8a81eb52ba584dd4d105ae9c9adc1498356ae6c511fd0ee2c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a72f70aa8c4fd64996d04090f3c6cf98eca0f17a05e7e0a7ae3552918a6c57a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-09-11T21:00:47Z",
    "title_canon_sha256": "369929956ece3ded16478ce2d9cb4ba513352473542fb6262bc3591be7066641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03214",
    "kind": "arxiv",
    "version": 1
  }
}